Can someone help me on this plzz thank you.

Answer:

3 and 18

Step-by-step explanation:

let x be the first number

let 6x be the second number

x + 6x = 21

7x=21

x=21/7

x=3

second number =6x

second number 6x3= 21

Answer:

they can buy 4 sodas

Step-by-step explanation:

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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The number of ways are = 1867866560

According to our question-

The passwords contain only digits and lower-case letters.

Length is 6 and the password must contain at least one digit.

There are 26 lower case and 10 digits.

Total = 26+10=36

Length is 6 and the password must contain at least one digit.

Hence, The number of ways are = 1867866560

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The required value of  b is 24 cm.

Given that, in a right-angled triangle, hypotenuse = 26 cm, perpendicular = 10 cm and base = b cm

Pythagoras theorem states that \(hypotenuse^{2} = base^2+perpendicular^{2}\).

That implies, \(26^2 = b^2+10^2\).

By substituting the square values gives,

676 = \(b^2\) + 100.

By subtracting 100 from both sides gives,

576 = \(b^2\).

The above equation can be expressed as

\(24^2 = b^2\)

By taking square root on both sides gives,

24 = b

Therefore, the required value of  b is 24 cm.

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The y-intercept of the function P(z) is -60.

To find the y-intercept of the function P(z), we need to evaluate P(0), which gives us the value of the function when z = 0.

For P(z) = (1 - 16)(z + 4), substituting z = 0:

P(0) = (1 - 16)(0 + 4) = (-15)(4) = -60

Therefore, the y-intercept of the function P(z) is -60.

The z-intercept is given as z₁ = 1, which means P(z₁) = P(1) = 0.

As for the behavior of the function as z approaches positive or negative infinity:

When z goes to positive infinity (z → +∞), the function P(z) approaches negative infinity (y → -∞).

When z goes to negative infinity (z → -∞), the function P(z) also approaches negative infinity (y → -∞).

The information provided about I₁ and I₂ is unclear, so I cannot provide specific answers regarding those variables. If you can provide additional information or clarify the question, I will be happy to assist you further.To find the y-intercept of the function P(z), we need to evaluate P(0), which gives us the value of the function when z = 0.

For P(z) = (1 - 16)(z + 4), substituting z = 0:

P(0) = (1 - 16)(0 + 4) = (-15)(4) = -60

The z-intercept is given as z₁ = 1, which means P(z₁) = P(1) = 0.

As for the behavior of the function as z approaches positive or negative infinity:

When z goes to positive infinity (z → +∞), the function P(z) approaches negative infinity (y → -∞).

When z goes to negative infinity (z → -∞), the function P(z) also approaches negative infinity (y → -∞).

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Answer:

y=2x^2+8 on a graph is smaller than y=2x^2-9 on a graph.

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

I took the test and I got it right.

The volume of the prism is, 8 inches

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A prism is completely filled with 64 cubes that have edge lengths of 1/2 in

Now, We have;

Volume of each cubes = ( 1/2)³

                                    = 1/8 in³

Since, there are 64 cubes,

Hence, their total volume is,

⇒ 64 × (1/8)

⇒ 8 cubic inches.

Thus, The volume of the prism is, 8 inches

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Answer:

y = 110°

Step-by-step explanation:

The inscribed angle CHF is half the measure of its intercepted arc CDF

The 3 arcs in the circle = 360°, thus

arc CDF = 360° - 160° - 60° = 140°, so

∠ CHF = 0.5 × 140° = 70°

∠ CHF and ∠ y are adjacent angles and supplementary, thus

y = 180° - 70° = 110°

Answer:

Step-by-step explanation:

I’m doing the same answer but I don’t understand pls help me

Answer:

5:2

Step-by-step explanation: sorry for the late response

The total surface area and volume of prism are:

Volume = 576 in³

Total Surface Area = 336 in²

The volume of the prism is calculated as:

Volume = Base Area * Height

Thus, we have:

Volume = (12 * 8) * 6

Volume = 576 in³

The total surface area is the sum of the surface area of all individual surfaces and as such we have:

Total Surface Area = (8 * 12) + (12 * 6) + (12 * 10) + 2(0.5 * 8 * 6)

Total Surface Area = 96 + 72 + 120 + 48

Total Surface Area = 336 in²

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Answer:

i pretty sure 9

Step-by-step explanation:

Answer:

The value of x is 11.

Step-by-step explanation:

Given :

Here we have given that the angles of a triangle are :

\(\begin{gathered}\end{gathered}\)

To Find :

\(\begin{gathered}\end{gathered}\)

As we know that :

\(\begin{gathered}\end{gathered}\)

Solution :

Now, according to the question :

\(\begin{gathered}\quad\longrightarrow{\sf{Sum \: of \: all \: angles = {180}^{0}}} \\\\\quad\longrightarrow{\sf{{62} + {69} + 4x + 5 = {180}}}\\\\\quad\longrightarrow{\sf{{131} + 4x + 5 = {180}}}\\\\\quad\longrightarrow{\sf{4x + 5 = {180} - {131}}}\\\\\quad\longrightarrow{\sf{4x + 5 = 49}}\\\\\quad\longrightarrow{\sf{4x = 49 - 5}}\\\\\quad\longrightarrow{\sf{4x = 44}}\\\\\quad\longrightarrow{\sf{x = \frac{44}{4}}}\\\\\quad\longrightarrow{\sf{x = 11}} \\ \\ \quad{\star{\underline{\boxed{\sf{\purple{x = 11}}}}}}\end{gathered}\)

Hence, the value of x is 11.

\(\rule{300}{2.5}\)

Answer:

To find the tens and units digit of the product, we only need to focus on the last two digits of the product.

First, we multiply 8 x 6, which gives us 48. So the units digit is 8 and we carry-over the 4 to the tens digit.

Next, we multiply 7 x 6, which gives us 42. We add the carry-over 4, which gives us 46. So the tens digit is 6 and we carry-over the 4.

Continuing with the multiplication, we get:

6 x 0 = 0 (no carry-over)

6 x 7 = 42 (carry-over 4)

6 x 2 = 12 (carry-over 1)

Adding the carry-over, we get:

4 + 4 + 1 = 9

Therefore, x+y= 8 + 6 = 14

By using the formula for the distance between the two points, it is found that S could lie on the perpendicular bisector QR.

Distance between points:

The distance between two points, (x1,y1) and (x2,y2) is calculated as,

D = √(x2 - x1)² + (y2 - y1)²

Given,

Here we have the coordinates: Q(-5, 4), R(8, -3), S(-2,-5)

Now, we have to determine if S could lie on the perpendicular bisector of QR with the given coordinates.

Here we have the endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is calculated as,

D = √(4 - (-5))² + (-2 - (-1))²

D = √82

Now, the distance of S to R is calculated as,

D = √(4 - 3)² + (-2 - 7)²

D = √82

Both have the Same distance, thus states the S could lie on the perpendicular bisector QR.

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The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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Func1(x, y) returns the sum of the original values of x and y. func2(x, y) returns the average of the final values of x and y after swapping. func3(a, b, c) returns the average of the final values of b and c after swapping and averaging.

Break down the meaning of the value returned by each of the three functions:

1. func1(x, y): This function swaps the values of x and y by assigning x the value of y and y the value of x. Finally, it returns the sum of x and y. Therefore, the value returned by func1(x, y) can be described as the sum of the original values of x and y.

2. func2(x, y): This function calls func1(x, y) and assigns the returned value to y. It then calls func1(y, x) and assigns the returned value to x. Next, it calculates z as the difference between x and y. Finally, it returns the average of x and y, which is (x + y) / 2.

The value returned by func2(x, y) can be described as the average of the final values of x and y after the swapping operations.

3. func3(a, b, c): This function calls func2(a, b) and assigns the returned value to c. It then calls func1(a, c) and assigns the returned value to b. Finally, it returns the average of b and c, which is (b + c) / 3. The value returned by func3(a, b, c) can be described as the average of the final values of b and c after the swapping and averaging operations.

In summary, func1(x, y) returns the sum of the original values of x and y. func2(x, y) returns the average of the final values of x and y after swapping. func3(a, b, c) returns the average of the final values of b and c after swapping and averaging.

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The complete question goes thus:

Consider the following confusing functions: def func1(x,y): x=y y=x y=y return (x+y) def func2(x,y): y=func1(x,y) x=func1(y,x) z=x-y return (x+y)/2 def func3(a,b,c): c=func2(a,b) b=func1(a,c) return (b+c)/3 Explain the meaning of the value returned by each of the three functions, assuming that all of the parameters are integers. (For example, you can write something like "func1(x,y) returns x2 - y2". This specific answer will not give you points because it is wrong. But a similar style answer is correct.)

Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.

Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.

Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.

Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.

Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.

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Answer:

try this answer 2x(x-2)(x+6)

Mallow's Cp is used to determine the best model. The correct option is D

The C(p) criterion is a model choice criterion that was proposed by Dennis Mallow. The C(p) criterion estimates the mean square prediction error of a model, with a given number of parameters, as compared to the mean square prediction error of the full model.

In other words, it gives us an estimate of how well the model is going to do in the future. The lower the C(p) criterion, the better the model is, which means that it has less noise and can predict better.

The formula to calculate the Mallow's Cp is given as \(:C(p) = {RSS_p/σ^2} - n + 2p\)where, RSSp = Residual Sum of Squares of p variables σ2 = Estimated Variance of the Error ε n = Sample size p = Number of parameters in the model. The correct option is D

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Answer: 20 tickets

Step-by-step explanation:

From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:

= 75 - 15

= 60 tickets

The number of tickets sold by Kelly each year on average will be:

= Number of tickets sold / Number of years.

= 60/3.

= 20 tickets

over the last 3 years

Answer:

6.2

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

mean is equal to all the numbers in the data set added together divided by the number of numbers in the data set

If every matchbox contains no more than 20% defective matches, then at least 80% of the matches in a box must be intact. The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

To find the minimum number of intact matches in a 43-match box, we need to multiply 43 by 80% (or 0.8):
43 x 0.8 = 34.4
Since we can't have a fraction of a match, we round down to the nearest whole number. Therefore, the minimum number of intact matches in a 43-match box manufactured by that factory is 34.
In a 43-match box manufactured by that factory, no more than 20% of the matches can be defective. To find the minimum number of intact matches, we can calculate the number of defective matches and subtract it from the total.
20% of 43 matches = (20/100) * 43 = 8.6
Since there can't be a fraction of a match, we round up to the nearest whole number, which is 9 defective matches. Now, subtract the number of defective matches from the total:
43 matches - 9 defective matches = 34 intact matches
The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

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Answer:

20:4

Step-by-step explanation:

20 to 4 reduces to 5 to 1

Answer:

10:2

20:4

40:8

All ratios above simplified are 5:1

Step-by-step explanation:

To determine the local behavior of the function f(x) = -4x(x^2)(x-4), we can examine the signs and multiplicity of the factors involved.

This will help us identify the intervals where the function is increasing or decreasing, as well as locate any local extrema (maximum or minimum points).

Let's analyze the factors of the function:

x:

The factor x appears once, so it changes signs at x = 0.

It is a linear factor, so it has a slope of 1 and passes through the origin.

(x^2):

The factor (x^2) appears with an even power, which means it is always non-negative.

It is a quadratic factor, so its graph is a parabola that opens upwards.

(x-4):

The factor (x-4) appears once, so it changes signs at x = 4.

It is a linear factor, so it has a slope of 1 and passes through the point (4, 0).

Now, let's consider the local behavior of the function:

At x = 0:

The factor x is zero, so f(0) = 0.

Since (x^2) and (x-4) are non-zero, their effect does not change the sign of the overall function.

Therefore, we have a potential local minimum at x = 0.

Between x = 0 and x = 4:

The factor x remains non-zero and positive in this interval.

The factor (x-4) changes signs from negative to positive.

The overall function f(x) will be negative in this interval.

At x = 4:

The factor (x-4) is zero, so f(4) = 0.

Since x and (x^2) are non-zero, their effect does not change the sign of the overall function.

Therefore, we have a potential local maximum at x = 4.

For x > 4:

The factor (x-4) remains non-zero and positive in this interval.

The factor x changes signs from positive to negative.

The overall function f(x) will be positive in this interval.

Based on this analysis, we can summarize the local behavior of the function f(x) = -4x(x^2)(x-4) as follows:

There is a potential local minimum at x = 0.

There is a potential local maximum at x = 4.

The function is negative between x = 0 and x = 4.

The function is positive for x > 4.

Please note that these conclusions are based on the factors and their signs, and additional analysis might be necessary to confirm the nature of the local extrema.

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The margin of error is:

Margin of error = 1.96 * (standard error of the mean)

The 95% confidence interval is:

Confidence interval = sample mean ± t-value * (standard error of the mean)

To calculate the margin of error for a 95% confidence interval estimate, we need to know the sample size and the standard error of the mean. If we assume a large sample size (n > 30) and do not have the population standard deviation, we can use the t-distribution with n-1 degrees of freedom to estimate the standard error of the mean.

The formula for the margin of error is:

Margin of error = t-value * (standard error of the mean)

For a 95% confidence interval, the t-value with n-1 degrees of freedom is approximately 1.96.

Therefore, the margin of error is:

Margin of error = 1.96 * (standard error of the mean)

To develop a 95% confidence interval for the population mean, we need to know the sample mean, sample size, and sample standard deviation.

If we assume a large sample size and do not have the population standard deviation, we can use the t-distribution with n-1 degrees of freedom to estimate the confidence interval.

The formula for the 95% confidence interval is:

Confidence interval = sample mean ± t-value * (standard error of the mean)

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Answer:

3.25

Step-by-step explanation:

total 18.25 - 2.00 tip = 16.25

16.25/5=3.25

Answer:

200 in²

Step-by-step explanation:

To find the area, you need to split it into two squares. The upper square would be 10 inches times 10 inches which would give you 100 inches squared. Since both are the same size, you can add both square areas together to give you 200 inches squared.

The ordered pair (x, y) that is a solution of the given system is (∅), which represents an inconsistent system. There are no values of x and y that simultaneously satisfy both equations.

To find the solution of the system, we can solve the equations simultaneously. The given system can be rewritten as:

4x + 5y = 6 -- Equation (1)

12x + 15y = 21 -- Equation (2)

If we multiply Equation (1) by 3, we get:

12x + 15y = 18 -- Equation (3)

Comparing Equations (2) and (3), we can see that they contradict each other. The left-hand sides are the same, but the right-hand sides differ (21 ≠ 18). This inconsistency means that there are no values of x and y that satisfy both equations simultaneously.

Therefore, the system is inconsistent, and the ordered pair (x, y) representing a solution does not exist. Thus, the answer is (∅).

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Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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